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Geometry gives children a different view of mathematics. As they explore patterns and relationships with models, blocks, geoboards, and graph paper, they learn about the properties of shapes and sharpen their intuitions and awareness of spatial concepts. Children's geometric ideas can be developed by having them sort and classify models of plane and solid figures, construct models from straws, make drawings, and create and manipulate shapes on a computer screen.
excerpts for NCTM's Standard 9 on Geometry
from Mathematics for Elementary Teachers, p. 611)
(see bibliography)
Assignment Exercises
Readings Bello & Britton,
Sections 7.1 - 7.5and
Geometry: The Forgotten Strand
by Glenda Lappan, NCTMhttp://www.nctm.org/news/
pastpresident/1999-12president.htm
Web Resources These web resources have links to
basic geometry sites.
If you are having trouble with this material, please review these sites. They have interactive self-checking quizzes and complete explanations.
Area and Perimeter of Polygons (http://www.mathgoodies.com/lessons/toc_vol1.shtm)Circumference and Area of Circle (http://www.mathgoodies.com/lessons/toc_vol2.shtm)
1. Review the sites in the web resources (or any other you find) and:
a) critiqué one of the lesson plans or activitiesOR
b) critique a lesson plan you have developed using the Internet.
You may want to take a look at the NCTM Electronic Examples linked to the standards
http://standards.nctm.org/document/eexamples/index.htm2. Complete the following exercises:
Exercises
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1. pp. 479-480, Ex. 4, 5, 7, 8, 10, 11, 12, 13, 15
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2. p. 482, Ex. 49
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3. Find the staircase patterns.
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4. Describe a three-dimensional polyhedron.
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5. Solve the hexomino and cube problem
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6. Complete the worksheet on surface area and volume. This exercise is done online. When you finish and submit your answers (They are sent directly to me!), please e-mail me (beva@igc.org) if you liked doing the worksheet this way.
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7. pp. 491 - 492, Ex. 16, 31, 32
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8. pp. 493 - 494, Ex. 47, 49
Area of different polygons - Student project from NYU
http://www.nyu.edu/classes/murfin/studentprojects/spring98/regentsp98/areapolygons.htmlExample using Rubik's Cube for Volume and Surface Area
http://164.106.214.8/faculty/tctharm/VMath/Vol.htmGeometry Problem of the week - from the Math Forum
http://forum.swarthmore.edu/geopow/Geometer's Sketchpad Site - resource site for Geometer's Sketchpad software with lessons, etc.
http://www.keypress.com/JavaScript Calculators for area of polygons
http://www.clicktoview.com/areas.htmMeasurement Unit on area and volume - downloadable PDF file with student handouts and lesson plans
http://www.indiana.edu/~techprep/mea_unit.htmA Multicultural Unit on Exploring Geometry - with complete lesson plans
http://www.coreknowledge.org/CKproto2/resrcs/lessons/598Geometry.htmPolyhedra in the Classroom - wonderful site with many activities and links
http://forum.swarthmore.edu/alejandre/workshops/unit14.htmlSpace figures and Basic Solids - formulas and examples
http://www.mathleague.com/help/geometry/3space.htmWeb sites with Area of Polygon Activities
http://trackstar.hprtec.org/main/display.php3?option=text&track_id=5288Worksheet on the area of polygons
http://snybufaf.buffalostate.edu/~aldrla17/aofpoly.htmlVolume and Surface Area - links to activities and lesson plans
http://www.iit.edu/~smile/mathinde.html#m1ThinkQuest sites on Geometry - please remember that these sites are created by students in 4-12 grades
depending on if it is a a Junior Thinkquest (4 - 8) site or a Senior site ( 9 - 12). -
exciting to see what the young people are developing.A 3D Look At 3D Geometry - a study of a third dimension with cubes and pyramids?
You will need a VRML plug-in to view this site.
http://library.thinkquest.org/2842/Basic Geometry - covers the basics of geometry
http://library.thinkquest.org/2647/geometry/geometry.htmGeometric Eagle - a site which covers beginning to intermediate geometry.
Concepts are illustrated by numerous definitions, equations, and examples.
http://library.thinkquest.org/11482/Geometry for All - site with activities and basic geometric information
http://library.thinkquest.org/28318/Introduction to Geometry - a tutorial in introductory concepts of geometry.
http://library.thinkquest.org/2609/Nuts About Geometry - glossary and activities related to geometric concepts
along with a brief history and uses of geometry.
http://library.thinkquest.org/J002441F/Quickie Math: The Geometry Experience - a geometry site containing shortcuts and
quick ways to help students gain a better understanding of geometry
with histories, lessons,problems, games,shortcuts, and more.
http://library.thinkquest.org/C006354/
Syllabus | Home | Assignments | Bibliography
